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Finding the Fourth Proportional to 199,654.81, 299,382.32 and 66,488.65

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Solution

The fourth proportional to 199,654.81, 299,382.32 and 66,488.65 is: 99,699.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,654.81 : 299,382.32 = 66,488.65 : x
  2. Step 2: Convert to fraction form
    199,654.81/299,382.32 = 66,488.65/x
  3. Step 3: Cross multiply
    199,654.81x = 299,382.32 × 66,488.65
  4. Step 4: Simplify right side
    199,654.81x = 19,905,525,958.22
  5. Step 5: Solve for x
    x = 19,905,525,958.22/199,654.81
  6. Step 6: Final answer
    x = 99,699.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.